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What is the value of x?

sin(x+34)°=cos(2x+20)°

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 Mar 21, 2018
 #1
avatar+129852 
+3

Since the sine and cosine are co-functions, the sum of these two angles will  =  90°

 

So we have

 

[x + 34 ]  + [ 2x + 20]   =  90    simplify

 

3x + 54  = 90     subtract 54 from both sides

 

3x  = 36      divide both sides by 3

 

x = 12

 

 

cool cool cool

 Mar 21, 2018

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